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Finding the Fourth Proportional to 187,742, 259,084.12 and 102,859.44

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Solution

The fourth proportional to 187,742, 259,084.12 and 102,859.44 is: 141,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,742 : 259,084.12 = 102,859.44 : x
  2. Step 2: Convert to fraction form
    187,742/259,084.12 = 102,859.44/x
  3. Step 3: Cross multiply
    187,742x = 259,084.12 × 102,859.44
  4. Step 4: Simplify right side
    187,742x = 26,649,247,496.09
  5. Step 5: Solve for x
    x = 26,649,247,496.09/187,742
  6. Step 6: Final answer
    x = 141,946.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.